BV-Regularity of the Boltzmann Equation in Non-Convex Domains

1. Verfasser: Guo, Y. Archive for Rational Mechanics and Analysis, 220(2016), 3, S. 1045 - 1093 E-Article Englisch Springer Berlin Heidelberg 0003-9527 Keine Tags, Fügen Sie den ersten Tag hinzu!
finc.format ElectronicArticle Springer Journals dswarm-105-MTAuMTAwNy9zMDAyMDUtMDE1LTA5NDgtOQ 10.1007/s00205-015-0948-9 105 EJOUR BV-Regularity of the Boltzmann Equation in Non-Convex Domains 1432-0673 1093 article 0003-9527 3 Archive for Rational Mechanics and Analysis 1045-1093 Berlin/Heidelberg Springer Berlin Heidelberg 2016 2016-06-01T00:00:00Z Arch Rational Mech Anal 1045 220 We consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a new W1,1-trace estimate for the diffuse boundary condition and a delicate construction of an $${\varepsilon}$$ε[/itex]-tubular neighborhood of the singular set. Guo Y. 10.1007/s00205-015-0948-9 eng https://doi.org/10.1007/s00205-015-0948-9 Boltzmann Equation Radon Measure Trace Theorem Duhamel Formula Diffuse Boundary Condition